Ask question

Ask question

All categories

2 years ago

8

Find the arc length for arcs of circles as follows:

1 answer:

Sauron [17]2 years ago

6 0

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{\frac{\pi }{4} }{2\pi }$ ( cancel 2π on numerator/ denominator )

= 15 × $\frac{\pi }{4}$

= $\frac{15\pi }{4}$

≈ 11.78 in ( to 2 dec. places )

You might be interested in

Determine whether Salvador's answers and work are correct. If ether answer is incorrect,

Neko [114]

Answer:

His first answer is wrong.

Step-by-step explanation:

The bar should only be over the 6 since it is the only number repeating.

6 0

3 years ago

inysia [295]

The end behavior of the given function (range) is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. The solution in interval notation is $\mathbf{(-\infty, 4) \cup (4, \infty)}$ .

The last option is correct.

<h3>What is the range of the function?</h3>

The end behavior of the given function f(x) = (8x+1)/2x-9 wants us to identify the range of the given function.

The range is the set of values of the dependent variable for which a function is defined. The function range is the combined domain of the inverse function.

From the information given:

$\mathbf{f(x) = \dfrac{8x +1}{2x -9 }}$

Inverse of $\mathbf{\dfrac{8x +1}{2x -9 }}$ becomes $\mathbf{f(x) = \dfrac{1+9x}{2(-4+x) }}$

The domain of the inverse is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. Now, representing the solution in interval notation, we have:

$\mathbf{(-\infty, 4) \cup (4, \infty)}$

Learn more about the range of a given function here:

brainly.com/question/1466393

#SPJ1

6 0

2 years ago

The article "Sensory and Mechanical Assessment of the Quality of Frankfurters" reported the following salt content (percentage b

sergeinik [125]

Answer:

μ = 1.877

Step-by-step explanation:

Data provided in the question:

Number of data samples, n = 10

Data: 2.18, 2.03, 1.56, 1.09, 1.56 ,2.28 ,1.62 ,2.02 ,2.11 ,2.32

Now,

Mean is calculated using the formula as:

Mean, μ = $\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}$

or

Mean, μ = $\frac{\textup{2.18 + 2.03 + 1.56 + 1.09 + 1.56 + 2.28 + 1.62 + 2.02 + 2.11 + 2.32 }}{\textup{10}}$

or

Mean , μ = $\frac{18.77}{10}$

or

Mean , μ = 1.877

8 0

3 years ago

‼️‼️help please ASAP

Zanzabum

By the Triangle Angle-Sum Theorem, all the angles in a triangle have to add up to equal 180. Therefore, 180-35-88=57, second choice down.

6 0

4 years ago

Write the equation of a circle with center (-2, 0) and area = 64 pi

kozerog [31]

Answer:

The required equation in standard form is $(x+2)^2+y^2=64$

Step-by-step explanation:

The equation of a circle with center (h,k) an radius, r units is given by the formula;

$(x-h)^2+(y-k)^2=r^2$

The given circle has center (-2,0) and radius squared can be calculated from the given area, which is $64\pi$

$\pi r^2=64\pi$

$\implies r^2=64$

We substitute these values into the formula to obtain;

$(x--2)^2+(y-0)^2=64$

We simplify to get;

$(x+2)^2+y^2=64$

5 0

4 years ago

Read 2 more answers